Theorems · Theorem · geometry

AffineSubspace.vadd_mem_pointwise_vadd_iff

∀ {k : Type u_2} {V : Type u_3} {P : Type u_4} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
  [inst_3 : AddTorsor V P] {v : V} {s : AffineSubspace k P} {p : P}, v +ᵥ p ∈ v +ᵥ s ↔ p ∈ s

Defined in

Mathlib.LinearAlgebra.AffineSpace.Pointwise

Cited by

0 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor